Define and prove that where θ is the angle between and
Cross Product: The vector or cross product of two non-zero vectors and, denoted by, is defined as
where θ is the angle between and , 0≤θ≤π and is a unit vector perpendicular to both and, such that, and form a right handed system.
We have
is a unit vector
But, we have the dot product of two vectors and forming an angle θ as
Now, we divide these two equations.
Thus,